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1345435056 = 24337597541
BaseRepresentation
bin101000000110001…
…1011010110110000
310110202200011221000
41100030123112300
510223412410211
6341301202000
745225003120
oct12014332660
93422604830
101345435056
116305102a9
12316700300
13185985624
14ca98ac80
157d1b7656
hex5031b5b0

1345435056 has 160 divisors (see below), whose sum is σ = 4488998400. Its totient is φ = 377844480.

The previous prime is 1345435037. The next prime is 1345435057. The reversal of 1345435056 is 6505345431.

1345435056 is a `hidden beast` number, since 13 + 4 + 543 + 50 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1345435056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345435057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174646 + ... + 182186.

It is an arithmetic number, because the mean of its divisors is an integer number (28056240).

Almost surely, 21345435056 is an apocalyptic number.

1345435056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345435056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244499200).

1345435056 is an abundant number, since it is smaller than the sum of its proper divisors (3143563344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1345435056 is a wasteful number, since it uses less digits than its factorization.

1345435056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 1345435056 is about 36680.1725186783. The cubic root of 1345435056 is about 1103.9623096774.

The spelling of 1345435056 in words is "one billion, three hundred forty-five million, four hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 59 63 72 84 108 112 118 126 144 168 177 189 216 236 252 336 354 378 413 432 472 504 531 708 756 826 944 1008 1062 1239 1416 1512 1593 1652 2124 2478 2832 3024 3186 3304 3717 4248 4956 6372 6608 7434 7541 8496 9912 11151 12744 14868 15082 19824 22302 22623 25488 29736 30164 44604 45246 52787 59472 60328 67869 89208 90492 105574 120656 135738 158361 178416 180984 203607 211148 271476 316722 361968 407214 422296 444919 475083 542952 633444 814428 844592 889838 950166 1085904 1266888 1334757 1425249 1628856 1779676 1900332 2533776 2669514 2850498 3114433 3257712 3559352 3800664 4004271 5339028 5700996 6228866 7118704 7601328 8008542 9343299 10678056 11401992 12012813 12457732 16017084 18686598 21356112 22803984 24025626 24915464 28029897 32034168 37373196 48051252 49830928 56059794 64068336 74746392 84089691 96102504 112119588 149492784 168179382 192205008 224239176 336358764 448478352 672717528 1345435056